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Finding the Fourth Proportional to 16,473.58, 22,732.11 and 9,758.07

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Solution

The fourth proportional to 16,473.58, 22,732.11 and 9,758.07 is: 13,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.58 : 22,732.11 = 9,758.07 : x
  2. Step 2: Convert to fraction form
    16,473.58/22,732.11 = 9,758.07/x
  3. Step 3: Cross multiply
    16,473.58x = 22,732.11 × 9,758.07
  4. Step 4: Simplify right side
    16,473.58x = 221,821,520.63
  5. Step 5: Solve for x
    x = 221,821,520.63/16,473.58
  6. Step 6: Final answer
    x = 13,465.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.